Improving The Performance of Linear Systems by Adding a Hybrid Loop: The Output Feedback Case

Francesco Fichera (1) , Christophe Prieur (2) , Sophie Tarbouriech (1) , Luca Zaccarian (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

In this paper, we extend the state feedback results of Prieur et al. (NOLCOS 2010) to the linear output feedback case, when the plant state is not available and is estimated via a Luenberger observer. Two techniques, based on different reset maps and flow and jump sets and guaranteeing global practical asymptotic stability of the origin of the closed-loop system, are proposed. The effectiveness of the solutions is illustrated on a simulation example where we show suitable reduction of the output overshoot.

Domaines: Automatique / Robotique

Francesco Fichera, Christophe Prieur, Sophie Tarbouriech, Luca Zaccarian. Improving The Performance of Linear Systems by Adding a Hybrid Loop: The Output Feedback Case. ACC 2012 - American Control Conference, Jun 2012, Montréal, Canada. pp.3192-3197. ⟨hal-00734467⟩